Question

If 8^m = 32 then what is the value of m?

Answer 1

$8^m = 32\\ \\ \Rightarrow (2^3)^m = 2^5\\ \\ \Rightarrow 2^{3m} = 2^5\\ \\ \Rightarrow 3m = 5\\ \\ \Rightarrow m = \frac{5}{3}$

Answer 2

8^m = 32
⇒2^3m = 2^5
since the bases are same therefore,
3m = 5
⇒m = 5/3
therefore the value of m = 5/3
         hope it helps..................................^_^